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A choice-based optimization approach for contracting in supply chains

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  • Roemer, Nils
  • Müller, Sven
  • Voigt, Guido

Abstract

We consider a supplier-buyer supply chain. The buyer holds private forecast information (high/low), and the supplier offers a menu of capacity reservation contracts to align incentives. We analyze how the menu of contracts should be adapted when lifting the assumptions that buyers act rationally and/or that buyers’ utility is deterministic. We employ a novel choice-based optimization approach that integrates a multinomial logit model (capturing the buyer’s contract choice behavior) with a mixed-integer nonlinear program. The choice-based optimization model can be solved with off-the-shelf solvers and is therefore ready to use by management. We further derive qualitative insights on how to adapt existing contracts in a numerical study. We show that cutting off low-demand buyers, reducing reservation fees in a specific manner and introducing more contract options may increase suppliers’ and supply chains’ performance.

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  • Roemer, Nils & Müller, Sven & Voigt, Guido, 2023. "A choice-based optimization approach for contracting in supply chains," European Journal of Operational Research, Elsevier, vol. 305(1), pages 271-286.
    • Handle: RePEc:eee:ejores:v:305:y:2023:i:1:p:271-286
    DOI: 10.1016/j.ejor.2022.05.052
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    as
    1. Elena Katok & Diana Yan Wu, 2009. "Contracting in Supply Chains: A Laboratory Investigation," Management Science, INFORMS, vol. 55(12), pages 1953-1968, December.
    2. Benjamin Scheibehenne & Rainer Greifeneder & Peter M. Todd, 2010. "Can There Ever Be Too Many Options? A Meta-Analytic Review of Choice Overload," Journal of Consumer Research, Journal of Consumer Research Inc., vol. 37(3), pages 409-425, October.
    3. Gérard P. Cachon & Martin A. Lariviere, 2001. "Contracting to Assure Supply: How to Share Demand Forecasts in a Supply Chain," Management Science, INFORMS, vol. 47(5), pages 629-646, May.
    4. David Revelt and Kenneth Train., 2000. "Customer-Specific Taste Parameters and Mixed Logit: Households' Choice of Electricity Supplier," Economics Working Papers E00-274, University of California at Berkeley.
    5. Pacheco Paneque, Meritxell & Bierlaire, Michel & Gendron, Bernard & Sharif Azadeh, Shadi, 2021. "Integrating advanced discrete choice models in mixed integer linear optimization," Transportation Research Part B: Methodological, Elsevier, vol. 146(C), pages 26-49.
    6. Lennart C. Johnsen & Guido Voigt & Joachim Weimann, 2020. "The Effect of Communication Media on Information Sharing in Supply Chains," Production and Operations Management, Production and Operations Management Society, vol. 29(3), pages 705-724, March.
    7. Krishnan, Harish & Winter, Ralph A., 2012. "The Economic Foundations of Supply Chain Contracting," Foundations and Trends(R) in Technology, Information and Operations Management, now publishers, vol. 5(3–4), pages 147-309, September.
    8. Baron, David P & Myerson, Roger B, 1982. "Regulating a Monopolist with Unknown Costs," Econometrica, Econometric Society, vol. 50(4), pages 911-930, July.
    9. Morris A. Cohen & Teck H. Ho & Z. Justin Ren & Christian Terwiesch, 2003. "Measuring Imputed Cost in the Semiconductor Equipment Supply Chain," Management Science, INFORMS, vol. 49(12), pages 1653-1670, December.
    10. Abel P. Jeuland & Steven M. Shugan, 1983. "Managing Channel Profits," Marketing Science, INFORMS, vol. 2(3), pages 239-272.
    11. Özalp Özer & Wei Wei, 2006. "Strategic Commitments for an Optimal Capacity Decision Under Asymmetric Forecast Information," Management Science, INFORMS, vol. 52(8), pages 1238-1257, August.
    12. Myerson, Roger B, 1979. "Incentive Compatibility and the Bargaining Problem," Econometrica, Econometric Society, vol. 47(1), pages 61-73, January.
    13. Paat Rusmevichientong & Huseyin Topaloglu, 2012. "Robust Assortment Optimization in Revenue Management Under the Multinomial Logit Choice Model," Operations Research, INFORMS, vol. 60(4), pages 865-882, August.
    14. Noah Lim & Teck-Hua Ho, 2007. "Designing Price Contracts for Boundedly Rational Customers: Does the Number of Blocks Matter?," Marketing Science, INFORMS, vol. 26(3), pages 312-326, 05-06.
    15. Kalyan Talluri & Garrett van Ryzin, 2004. "Revenue Management Under a General Discrete Choice Model of Consumer Behavior," Management Science, INFORMS, vol. 50(1), pages 15-33, January.
    16. Anja Lambrecht & Katja Seim & Bernd Skiera, 2007. "Does Uncertainty Matter? Consumer Behavior Under Three-Part Tariffs," Marketing Science, INFORMS, vol. 26(5), pages 698-710, 09-10.
    17. K. Sridhar Moorthy, 1987. "Comment—Managing Channel Profits: Comment," Marketing Science, INFORMS, vol. 6(4), pages 375-379.
    18. Wang, Jian-Cai & Lau, Hon-Shiang & Lau, Amy Hing Ling, 2009. "When should a manufacturer share truthful manufacturing cost information with a dominant retailer?," European Journal of Operational Research, Elsevier, vol. 197(1), pages 266-286, August.
    19. Hensher,David A. & Rose,John M. & Greene,William H., 2015. "Applied Choice Analysis," Cambridge Books, Cambridge University Press, number 9781107465923, September.
    20. Sebastian Schiffels & Guido Voigt, 2021. "Capacity Reservation and Wholesale Price Contracts under Forecast Sharing: A Behavioral Assessment," Production and Operations Management, Production and Operations Management Society, vol. 30(10), pages 3579-3598, October.
    21. Albert Y. Ha, 2001. "Supplier‐buyer contracting: Asymmetric cost information and cutoff level policy for buyer participation," Naval Research Logistics (NRL), John Wiley & Sons, vol. 48(1), pages 41-64, February.
    22. Train,Kenneth E., 2009. "Discrete Choice Methods with Simulation," Cambridge Books, Cambridge University Press, number 9780521747387, September.
    23. repec:bla:ecorec:v:85:y:2009:i:s1:p:s29-s34 is not listed on IDEAS
    24. Raghuram Iyengar & Kamel Jedidi, 2012. "A Conjoint Model of Quantity Discounts," Marketing Science, INFORMS, vol. 31(2), pages 334-350, March.
    25. Garrett van Ryzin & Siddharth Mahajan, 1999. "On the Relationship Between Inventory Costs and Variety Benefits in Retail Assortments," Management Science, INFORMS, vol. 45(11), pages 1496-1509, November.
    26. Schlereth, Christian & Skiera, Bernd, 2012. "Measurement of consumer preferences for bucket pricing plans with different service attributes," International Journal of Research in Marketing, Elsevier, vol. 29(2), pages 167-180.
    27. Jean-Charles Rochet & Philippe Chone, 1998. "Ironing, Sweeping, and Multidimensional Screening," Econometrica, Econometric Society, vol. 66(4), pages 783-826, July.
    28. Sridhar Narayanan & Pradeep Chintagunta & Eugenio Miravete, 2007. "The role of self selection, usage uncertainty and learning in the demand for local telephone service," Quantitative Marketing and Economics (QME), Springer, vol. 5(1), pages 1-34, March.
    29. Peter J. Danaher, 2002. "Optimal Pricing of New Subscription Services: Analysis of a Market Experiment," Marketing Science, INFORMS, vol. 21(2), pages 119-138, February.
    30. Sechan Oh & Özalp Özer, 2013. "Mechanism Design for Capacity Planning Under Dynamic Evolutions of Asymmetric Demand Forecasts," Management Science, INFORMS, vol. 59(4), pages 987-1007, April.
    31. Haase, Knut & Müller, Sven, 2013. "Management of school locations allowing for free school choice," Omega, Elsevier, vol. 41(5), pages 847-855.
    32. Teck-Hua Ho & Juanjuan Zhang, 2008. "Designing Pricing Contracts for Boundedly Rational Customers: Does the Framing of the Fixed Fee Matter?," Management Science, INFORMS, vol. 54(4), pages 686-700, April.
    33. Adib Bagh & Hemant K. Bhargava, 2013. "How to Price Discriminate When Tariff Size Matters," Marketing Science, INFORMS, vol. 32(1), pages 111-126, August.
    34. Xuanming Su, 2008. "Bounded Rationality in Newsvendor Models," Manufacturing & Service Operations Management, INFORMS, vol. 10(4), pages 566-589, May.
    35. Hau L. Lee & V. Padmanabhan & Seungjin Whang, 1997. "Information Distortion in a Supply Chain: The Bullwhip Effect," Management Science, INFORMS, vol. 43(4), pages 546-558, April.
    36. Barry Alan Pasternack, 1985. "Optimal Pricing and Return Policies for Perishable Commodities," Marketing Science, INFORMS, vol. 4(2), pages 166-176.
    37. Yefen Chen & Xuanming Su & Xiaobo Zhao, 2012. "Modeling Bounded Rationality in Capacity Allocation Games with the Quantal Response Equilibrium," Management Science, INFORMS, vol. 58(10), pages 1952-1962, October.
    38. Gustavo Vulcano & Garrett van Ryzin & Wassim Chaar, 2010. "OM Practice--Choice-Based Revenue Management: An Empirical Study of Estimation and Optimization," Manufacturing & Service Operations Management, INFORMS, vol. 12(3), pages 371-392, February.
    39. Charles J. Corbett & Xavier de Groote, 2000. "A Supplier's Optimal Quantity Discount Policy Under Asymmetric Information," Management Science, INFORMS, vol. 46(3), pages 444-450, March.
    40. Ljubić, Ivana & Moreno, Eduardo, 2018. "Outer approximation and submodular cuts for maximum capture facility location problems with random utilities," European Journal of Operational Research, Elsevier, vol. 266(1), pages 46-56.
    41. Andrew M. Davis & Elena Katok & Natalia Santamaría, 2014. "Push, Pull, or Both? A Behavioral Study of How the Allocation of Inventory Risk Affects Channel Efficiency," Management Science, INFORMS, vol. 60(11), pages 2666-2683, November.
    42. Erica L. Plambeck & Terry A. Taylor, 2007. "Implications of Breach Remedy and Renegotiation Design for Innovation and Capacity," Management Science, INFORMS, vol. 53(12), pages 1859-1871, December.
    43. Michael Becker-Peth & Elena Katok & Ulrich W. Thonemann, 2013. "Designing Buyback Contracts for Irrational But Predictable Newsvendors," Management Science, INFORMS, vol. 59(8), pages 1800-1816, August.
    44. Terry A. Taylor, 2002. "Supply Chain Coordination Under Channel Rebates with Sales Effort Effects," Management Science, INFORMS, vol. 48(8), pages 992-1007, August.
    45. Benati, Stefano & Hansen, Pierre, 2002. "The maximum capture problem with random utilities: Problem formulation and algorithms," European Journal of Operational Research, Elsevier, vol. 143(3), pages 518-530, December.
    46. Gérard P. Cachon & Christian Terwiesch & Yi Xu, 2005. "Retail Assortment Planning in the Presence of Consumer Search," Manufacturing & Service Operations Management, INFORMS, vol. 7(4), pages 330-346, August.
    47. Gérard P. Cachon & Martin A. Lariviere, 2005. "Supply Chain Coordination with Revenue-Sharing Contracts: Strengths and Limitations," Management Science, INFORMS, vol. 51(1), pages 30-44, January.
    48. Basak Kalkanci & Kay-Yut Chen & Feryal Erhun, 2011. "Contract Complexity and Performance Under Asymmetric Demand Information: An Experimental Evaluation," Management Science, INFORMS, vol. 57(4), pages 689-704, April.
    49. Schlereth, Christian & Stepanchuk, Tanja & Skiera, Bernd, 2010. "Optimization and analysis of the profitability of tariff structures with two-part tariffs," European Journal of Operational Research, Elsevier, vol. 206(3), pages 691-701, November.
    50. Abebe, Gumataw K. & Bijman, Jos & Kemp, Ron & Omta, Onno & Tsegaye, Admasu, 2013. "Contract farming configuration: Smallholders’ preferences for contract design attributes," Food Policy, Elsevier, vol. 40(C), pages 14-24.
    51. Sreya Kolay & Greg Shaffer & Janusz A. Ordover, 2004. "All‐Units Discounts in Retail Contracts," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 13(3), pages 429-459, September.
    52. Christian Terwiesch & Z. Justin Ren & Teck H. Ho & Morris A. Cohen, 2005. "An Empirical Analysis of Forecast Sharing in the Semiconductor Equipment Supply Chain," Management Science, INFORMS, vol. 51(2), pages 208-220, February.
    53. Albert Y. Ha & Shilu Tong, 2008. "Contracting and Information Sharing Under Supply Chain Competition," Management Science, INFORMS, vol. 54(4), pages 701-715, April.
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